Cadence Detection Based on Inertial Harmonics

ABSTRACT

The method and apparatus disclosed herein determine a user cadence from the output of an inertial sensor mounted to or proximate the user&#39;s body. In general, the disclosed cadence measurement system determines the user cadence based on frequency measurements acquired from an inertial signal output by the inertial sensor. More particularly, a cadence measurement system determines a user cadence from an inertial signal generated by an inertial sensor, where the inertial signal comprises one or more frequency components. The cadence measurement system determines a peak frequency of the inertial signal, where the peak frequency corresponds to the frequency component of the inertial signal having the largest amplitude. After applying the peak frequency to one or more frequency threshold comparisons, the cadence measurement system determines the user cadence based on the peak frequency and the frequency threshold comparison(s).

BACKGROUND

Personal health monitors provide users with the ability to monitor their overall health and fitness by enabling the user to monitor heart rate or other physiological information during exercise, athletic training, rest, daily life activities, physical therapy, etc. Such devices are becoming increasingly popular as they become smaller and more portable.

In addition to providing bodily performance information such as heart rate and breathing rate, a personal health monitor may also provide performance information about the current activity, e.g., duration, distance, cadence, etc. As with many parameters, however, the accurate determination of such information may be compromised by noise.

A user's cadence enables the user to monitor their current performance relative to their personal goals, and therefore represents a particularly useful piece of activity performance information. As used herein, a cadence represents the number of repetitions per minute. For example, when the user is moving on foot, the cadence represents the number of foot repetitions or steps per minute. When the user is moving on wheels, the cadence represents the number of cycle repetitions (e.g., crank or pedal revolutions) per minute.

Conventional devices may monitor the cycling cadence, for example, using a cyclocomputer. A sensor system mounted to the crank arm and frame of the bicycle counts the number of wheel rotations per minute to determine the cycling cadence. While such devices are useful and reasonably accurate, they are cumbersome and cannot easily be used with multiple bicycles. Further, such devices cannot provide an accurate estimate of the number of steps per minute taken, e.g., by a runner. Thus, there remains a need for more portable devices capable of measuring a user cadence in a wide variety of scenarios.

SUMMARY

The method and apparatus disclosed herein determine a user cadence from the output of an inertial sensor mounted to or proximate the user's body, e.g., disposed in an ear bud worn by the user. In general, a cadence measurement system determines the cadence based on frequency measurements acquired from an inertial signal output by the inertial sensor.

An exemplary method determines a user cadence from an inertial signal generated by an inertial sensor, where the inertial signal comprises one or more frequency components. The method determines a peak frequency of the inertial signal, where the peak frequency corresponds to the frequency component of the inertial signal having the largest amplitude. After applying the peak frequency to one or more frequency threshold comparisons, the user cadence is determined based on the peak frequency and the one or more frequency threshold comparisons.

In one embodiment, a cadence measurement system determines the user cadence. The cadence measurement system comprises an inertial sensor and a cadence circuit. The inertial sensor is configured to output an inertial signal comprising one or more frequency components. The cadence circuit is operatively connected to the inertial sensor, and comprises a peak frequency circuit, a comparison circuit, and a cadence processor circuit. The peak frequency circuit is configured to determine a peak frequency of the inertial signal, where the peak frequency corresponds to the frequency component of the inertial signal having the largest amplitude. The comparison circuit is configured to apply the peak frequency to one or more frequency threshold comparisons. The cadence processor circuit is configured to determine the user cadence based on the peak frequency and the one or more frequency threshold comparisons.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 shows an exemplary cadence measurement system disposed in an ear bud.

FIG. 2 shows a block diagram of an exemplary cadence measurement system.

FIG. 3 shows an exemplary process for determining the cadence from data provided by an inertial sensor.

FIG. 4 shows a block diagram of an exemplary cadence circuit.

FIG. 5 shows a more detailed process for determining a user cadence from data provided by an inertial sensor according to one exemplary embodiment.

FIGS. 6A and 6B show simulated results associated with the disclosed solution.

DETAILED DESCRIPTION

The cadence measurement technique disclosed herein provides an accurate measurement of a user's cadence based on a signal provided by an inertial sensor disposed proximate a user's body. FIG. 1 shows part of an exemplary cadence measurement system 10, where one or more sensors 14 are disposed in an ear bud 12, and a cadence circuit 100 is operatively connected to the sensor(s) 14, e.g., via a wired or wireless connection. The cadence circuit 100 may be secured to the user, e.g., via a clip. The ear bud 12 may comprise a wireless or wired ear bud that communicatively couples to a remote device, e.g., a music player, a smart phone, a personal data assistant, etc. While not required, it will be appreciated that the cadence circuit 100 may be disposed in the remote device. While FIG. 1 shows the sensor(s) 14 as being part of an ear bud 12, it will be appreciated that the sensor(s) 14 may be disposed in any device that secures to the body of a user, e.g., a device that secures to an ear, finger, toe, limb, ankle, wrist, nose, etc. In some embodiments, the device may comprise a patch, e.g., a bandage, designed to attach the system 10 to any desired location on the user's body. While FIG. 1 shows the cadence circuit 100 as being separate from the ear bud 12, it will be appreciated that the cadence circuit 100 may be disposed in the ear bud 12

The cadence measurement system 10 measures the user's cadence, and outputs the cadence to the user and/or to other processing functions or elements. As used herein, the “cadence” refers to the number of repetitions or complete cycles per minute. Exemplary user cadences include, but are not limited to, a step rate (e.g., the number of steps or foot repetitions per minute), a cycle rate (e.g., the number of pedaling cycles or cycle revolutions per minute), a repetition rate (e.g., with respect to lifting weights), etc. It will be appreciated that a step rate cadence may represent the user's cadence while walking, running, doing aerobics, climbing stairs, etc. Further, it will be appreciated that the cadence measurement system may be used with any mobile animals having one or more limbs that facilitate and/or enable the animal's movement, or with machinery, e.g., a walking robot. Exemplary animals include, but are not limited to, biped animals (e.g., humans, birds, etc.) and quadruped animals (e.g., dogs, horses, etc.).

FIG. 2 shows a block diagram of an exemplary cadence measurement system 10 according to one exemplary embodiment. System 10 comprises the cadence circuit 100 coupled to one or more sensors 14 and an input/output interface 16, where the sensor(s) 14 include at least one inertial sensor 14 a, and an optional physiological sensor 14 b. It will be appreciated that the inertial sensor 14 a may incorporate a physiological sensor or physiological sensor capabilities. Inertial sensor 14 a is configured to sense energy, e.g., motion, external to the system 10, and to output an inertial signal S_(i) representative of the sensed energy. The inertial sensor 14 a may comprise a single axis sensor or a multiple axis sensor. Exemplary inertial sensors 14 a include but are not limited to accelerometers, Micro-Electro-Mechanical System (MEMS) devices, gyroscopes, optical sensors, an opto-mechanical sensor, a blocked channel sensor, a capacitive sensor, and a piezo sensor. When the inertial sensor 14 a comprises a multiple axis sensor, frequency and power information from each axis may be combined or otherwise evaluated to determine the desired information, e.g., the peak frequency and the inertial power. For example, the spectral magnitude may be determined for each axis, where a maximum one of the spectral magnitudes, a sum of the squares, a maximum of the squares, a sum of the absolute values, a maximum of the absolute values, the root-sum-squares, the root-mean-squares, and/or the decimation of the spectral magnitudes is ultimately used to determine the inertial power and to identify the peak frequency. Cadence circuit 100 processes the inertial signal S_(i) as disclosed herein to determine a user cadence C. Input/output interface 16 provides input from the user to the cadence circuit, and outputs the determined cadence C. It will be appreciated that input/output interface 16 may include a display, a keyboard or other data entry device, and/or a transceiver for transmitting the cadence to a remote device. Alternatively or additionally, the input/output interface 16 may provide the cadence to the display, a database, a processor, and/or a processing function. FIG. 3 shows an exemplary method 200 that may be implemented by the cadence measurement system 10 to determine a user cadence C. After the cadence circuit 100 receives the inertial signal S_(i) from the inertial sensor 14 a (block 210), the cadence circuit 100 determines a peak frequency f_(p) based on S_(i) (block 220). The peak frequency f_(p) represents the frequency component of the inertial signal S_(i) having the largest amplitude. The cadence circuit 100 subsequently applies the peak frequency f_(p) to one or more frequency threshold comparisons (block 230). Based on the frequency threshold comparisons, the cadence circuit 100 determines the user cadence C (block 240).

FIG. 4 shows a block diagram of an exemplary cadence circuit 100 configured to determine the user cadence from the inertial signal output by the inertial sensor 14 a. Cadence circuit 100 comprises a peak frequency circuit 110, a frequency comparison circuit 120, and a cadence processor circuit 130. Peak frequency circuit 110 determines the peak frequency of the input inertial signal. The frequency comparison circuit 120 applies the peak frequency to one or more frequency threshold comparisons. The cadence processor circuit 130 determines the user cadence based on the peak frequency and the one or more frequency threshold comparisons.

The peak frequency circuit 110 identifies the frequency component of the inertial signal having the largest signal amplitude. In one exemplary embodiment, Peak frequency circuit 110 may achieve this goal by performing a frequency transform of the inertial signal to determine a spectral signal. The peak frequency circuit 110 then identifies the frequency component of the spectral signal having the largest amplitude as the peak frequency. It will be appreciated that other means, e.g., phase-locked loop, pulse picking, or time-domain implementations, may be used to determine the peak frequency.

The frequency comparison circuit 120 applies the peak frequency to one or more frequency threshold comparisons. The frequency peak often corresponds directly to the user cadence. However, in some instances, the user cadence is some harmonic factor of the peak frequency. Empirical research shows the peak frequency is often twice, half, or three-halves the user cadence. As shown in FIG. 5, when sprinting is possible the typical walking harmonics are 2 f_(p), 3/2f_(p), or ½f_(p) and the typical running harmonics are ½f_(p). For example, harmonics at 2f_(p) and 3/2f_(p) often occur when the user walks, but not when the user runs. Thus, the cadence may actually be ½f_(p) or ⅔f_(p), respectively. When the user runs, harmonics at ½f_(p) often occur. Thus, the cadence in this scenario may actually be 2f_(p), ⅔f_(p), or ½f_(p). Thus, the cadence circuit 100 must determine which harmonic factor, if any, is applicable to determining the current user cadence.

The frequency threshold comparisons applied by the frequency comparison circuit 120 as disclosed herein solve this problem using one or more threshold comparisons, where the thresholds are determined based on a previous user cadence, an inertial power of the inertial signal, user activity parameters, user information, and/or empirical values. It will be appreciated that different harmonic factors and/or thresholds may apply depending on whether the user is sprinting, walking, running, ramping up from a low frequency value, cycling, etc. For example, harmonic factors due to arm swing, head bobbing, etc., impact the user cadence differently depending on how the user is moving, e.g., whether the user is running or walking. Thus, the cadence circuit 100 may optionally comprise a power circuit 140, a power comparison circuit 150, a user input circuit 160, a memory 170, and/or a threshold processor circuit 180 that determine and/or provide the various harmonic factors and thresholds necessary to determine the user cadence.

The power circuit 140 is configured to determine the inertial power P_(i) of the inertial signal. To that end, the power circuit 140 may compute the inertial power in the time domain, e.g., using the root mean square, or in the frequency domain, e.g., using the amplitude of a spectral peak. The power comparison circuit compares P_(i) to an inertial power threshold T_(i) to facilitate the determination of whether the user is running or walking. User input circuit 160 receives input from the user. The user input may be used to determine one or more user activity parameters, e.g., whether the user is on foot or on wheels, whether sprinting is possible, etc. Threshold processor circuit 180 is configured to determine one or more of the thresholds used by the frequency comparison circuit 120, including any frequency thresholds used to determine a running cadence, a walking cadence, a cycling cadence, etc., and the power threshold used by the power comparison circuit 150. Memory 170 stores any predetermined thresholds, one or more previously determined cadences C_(p), the various harmonic factors used by the cadence processor circuit 130, and any other information or software necessary for successful operation of the cadence circuit 100.

FIG. 5 shows an exemplary detailed process 300 executed by the cadence circuit 100 to determine the user cadence C. As shown by FIG. 5, cadence circuit 100 determines the user cadence based on the peak frequency and one or more frequency threshold comparisons. In exemplary embodiments, the cadence circuit 100 determines a user activity parameter, and determines the user cadence based on the frequency threshold comparison(s) and the user activity parameter. For example, the user activity parameter may identify whether the user is on foot or on wheels (block 302). When on wheels, the frequency comparison circuit 120 compares the peak frequency f_(p) to a cycling threshold T_(c), which may be fixed or variably determined based on an inertial power of the inertial signal (block 310). When f_(p)<T_(c), the cadence processor circuit 130 sets the cadence equal to the peak frequency (block 312). Otherwise, the cadence processor circuit 130 generates two or more test cadences, and sets the user cadence equal to the test cadence closest to a previous user cadence (blocks 314-322). For example, the cadence processor circuit 130 may generate three test cadences: C₁=½f_(p), C₂=⅔f_(p), and C₃=f_(p) (block 314), and compare the three test cadences to a previous user cadence C_(p) (block 316). If C₁ is closer to C_(p) than C₂ or C₃ are, the cadence processor circuit 130 sets the user cadence equal to C₁ (block 318). If C₂ is closer to C_(p) than C₁ or C₃ are, the cadence processor circuit 130 sets the user cadence equal to C₂ (block 320). If C₃ is closer to C_(p) than C₂ or C₁ are, the cadence processor circuit 130 sets the user cadence equal to C₃ (block 322). While the example of FIG. 5 shows determining and using three specific test cadences, it will be appreciated that any two or more test cadences may be used.

When the user is on foot (block 302), the cadence processor circuit 130 sets the user cadence equal to the peak frequency divided by a harmonic factor, e.g., ½, 1, 3/2, 2, etc. More particularly, the cadence processor circuit 130 determines the user cadence based on frequency and power comparisons respectively performed by the frequency comparison circuit 120 and the power comparison circuit 150 (block 330). For example, when the inertial power P_(i) is less than the inertial power threshold T_(i) and f_(p)≧T_(foot), cadence processor circuit 130 generates two or more test cadences based on f_(p) and two or more of the harmonic factors, and determines the user cadence based on the test cadences and a previous user cadence (blocks 360-368). For example, the cadence processor circuit 130 may generate three test cadences: C₁=½f_(p), C₂=⅔f_(p), and C₃=f_(p) (block 360), and compare the three test cadences to a previous user cadence C_(p) (block 362). If C₁ is closer to C_(p) than C₂ or C₃ are, the cadence processor circuit 130 sets the user cadence equal to C₁ (block 364). If C₂ is closer to C_(p) than C₁ or C₃ are, the cadence processor circuit 130 sets the user cadence equal to C₂ (block 366). If C₃ is closer to C_(p) than C₂ or C₁ are, the cadence processor circuit 130 sets the user cadence equal to C₃ (block 368). While the example of FIG. 5 shows determining and using three specific test cadences, it will be appreciated that any two or more test cadences may be used.

However, when the P_(i)≧T_(i) and/or f<T_(foot), the cadence processor circuit 130 determines the user cadence based on frequency threshold comparison(s) and a sprinting user activity parameter, which indicates whether sprinting conditions are possible (blocks 332-356). More particularly, when P_(i)≧T_(i) and/or f_(p)<T_(foot), the cadence processor circuit 130 determines whether sprinting conditions are possible based on user input (block 332). For example, the user may select an activity mode, e.g., walking, slow or low impact aerobics, high impact aerobics, running, etc. from a menu of options. Based on the selected activity mode, the cadence processor circuit 130 determines whether sprinting conditions are possible. For example, when the user selects slow aerobics, the cadence processor circuit 130 determines that sprinting is not possible. Alternatively, when the user selects running, the cadence processor circuit 130 determines that sprinting is possible. If sprinting conditions are possible, the cadence processor circuit 130 determines the user cadence based on a comparison between f_(p) and a low frequency threshold T_(low) under sprinting conditions (blocks 334-338). When f_(p)<T_(low), the cadence processor circuit 130 sets the user cadence equal to the peak frequency divided by the ½ harmonic factor, e.g., equal to twice the peak frequency (block 336). Otherwise, the cadence processor circuit 130 sets the user cadence equal to the peak frequency (block 338).

If sprinting conditions are not possible, the cadence processor circuit 130 determines the user cadence based on multiple frequency threshold comparisons under non-sprinting conditions (blocks 340-356). More particularly, the cadence processor circuit applies the peak frequency to multiple thresholds based on whether the peak frequency is ramping up from a low frequency value (block 340), and determines the user cadence based on that ramping information and the frequency threshold conditions (blocks 342-356). While not required, in some exemplary embodiments, the low frequency value is zero. During non-sprinting conditions when the peak frequency is ramping up from a low frequency value, the cadence processor circuit 130 sets the user cadence equal to the peak frequency (block 342).

However, during non-sprinting conditions when the peak frequency is not ramping up from a low frequency value, the cadence processor circuit 130 determines the user cadence based on multiple peak frequency threshold comparisons determined by the frequency comparison circuit 120 under non-sprinting conditions relative to a low frequency threshold T_(low), an intermediate frequency threshold T_(med), and a high frequency threshold T_(high), where T_(low)<T_(med)<T_(high) (blocks 344-356). More particularly, under these conditions when f_(p)<T_(low) (block 344), the cadence processor circuit 130 sets the user cadence equal to the peak frequency divided by the ½ harmonic factor, e.g., equal to twice the peak frequency (block 346). When f_(p)≧T_(low) and f_(p)>T_(high) (blocks 344 and 348), the cadence processor circuit 130 sets the user cadence equal to the peak frequency divided by the 2 harmonic factor, e.g., equal to half the peak frequency (block 350). When f_(p)≧T_(low) and f_(p)≦T_(high) and f_(p)>T_(med) (blocks 344, 348, and 352), the cadence processor circuit 130 sets the user cadence equal to the peak frequency divided by the 3/2 harmonic factor, e.g., equal to two-thirds the peak frequency (block 354). Otherwise, the cadence processor circuit 130 sets the user cadence equal to the peak frequency (block 356).

As discussed herein, the cadence circuit 100 determines the user cadence based on one or more frequency threshold comparisons. Each frequency threshold, as well as the inertial power threshold, may be determined empirically or based on one or more parameters, e.g., a previous user cadence, an inertial power, user information, and/or a user activity parameter. For example, the cycling threshold T_(c) and/or the foot threshold T_(foot) may be determined empirically based on observation, and/or based on user input information, user activity parameter, and/or the inertial power. In one exemplary embodiment, for example, the foot threshold may be determined according to:

$\begin{matrix} {T_{foot} = {120 + {40{\frac{P_{i}}{T_{i}}.}}}} & (1) \end{matrix}$

An exemplary cycling threshold T_(c) is 100 revolutions per minute, while an exemplary foot threshold T_(foot) is 145 steps per minute. The inertial power threshold and/or the low threshold may be determined empirically and/or based on user information, e.g., the user's weight, shoe sole compliance information, etc., the inertial power, a previous user cadence, and/or user activity parameters. In one exemplary embodiment, T_(low)=60 (a constant). It has been shown, for example, that the low frequency threshold is more accurate when determined as a function of the inertial power. For example, when P_(i)≦T_(i), the low threshold may be determined based on the inertial power when according to:

$\begin{matrix} {T_{low} = {60 + {20{\frac{P_{i}}{T_{i}}.}}}} & (2) \end{matrix}$

When P_(i)>T_(i), alternatively, T_(low) may be set equal to 80. In another exemplary embodiment, the low threshold may be determined based on the previous user cadence according to:

T _(low)=0.6C _(p).  (3)

It will be appreciated that different values for T_(low) may be used for different scenarios. Thus, a combination of the above-disclosed options may be selectively used depending on the different scenarios, e.g., whether P_(i)>T_(i). Similarly, the intermediate and high thresholds may be determined based on a previous user cadence and/or the inertial power. For example, the intermediate and high thresholds may be determined as a function of the previous user cadence and a sprint factor. The sprint factor for the intermediate threshold may be determined empirically, e.g., based on 1.75 times the previous user cadence. The sprint factor for the intermediate threshold may also be determined empirically, e.g., based on 1.4 times the previous user cadence. It will be appreciated that each threshold may be fixed or variable. It will also be appreciated that the frequency thresholds (e.g., T_(c), T_(foot), T_(low), T_(med), T_(high)) and the inertial power threshold (T_(i)) discussed herein are exemplary and non-limiting; other thresholds may be used depending on the system configuration, the information available to the cadence circuit 100, etc.

The user cadence method and apparatus disclosed herein accurately determines a user cadence for a wide range of circumstances and environments. Further, because the user may wear the hardware necessary to implement this invention, the invention disclosed herein is applicable for any user activity, including cycling, walking, running, athletic training, sports, aerobics, weight lifting or any other repetitive exercises, jumping, etc.

FIGS. 6A and 6B show simulated results for one exemplary implementation of the cadence measurement system disclosed herein. The plots shown in FIGS. 6A and 6B are generated from the same data set produced by an individual running and walking on a treadmill. FIG. 6A shows the user cadence with respect to time as computed according to FIG. 5 using the spectral peak frequency provided by the inertial sensor. FIG. 6B shows the inertial power output by the inertial sensor with respect to time. FIG. 6B also shows an exemplary inertial power threshold of 2000, which is used to determine whether the user is running or walking/resting. The circuits for the y-axis circuits Figure B are “g's” scaled by a systematic multiplier, where 1 g is the force of gravity on Earth at sea level. As shown by FIGS. 6A and 6B, the user is running from 125-215, seconds and from 300-375 seconds. Thus, in these regions, user cadence method and apparatus disclosed herein avoids mistaking the peak frequencies above 145 steps per minute as 2x or 3/2x harmonics. The 40-70 seconds region shows 3/2x and ½x harmonics, the 80-120 seconds region shows 2x and ½x harmonics, and the 125-215 seconds region shows ½x harmonics. All of these harmonics, when divided by the corresponding harmonic factor as disclosed herein, produce the correct user cadence.

In some embodiments, the cadence measurement system 10 may also comprise additional sensors. For example, the cadence measurement system 10 may include additional physiological sensors 14 b, e.g., blood flow (photoplethysmography (PPG)), body temperature, and/or heart rate sensors.

In some embodiments, a noise circuit 18 (not shown) may be included to remove or otherwise attenuate cadence-related motion artifact noise from a physiological signal based on the determined user cadence output by the cadence circuit 100. For example, the determined cadence frequency may be selectively removed from the frequency spectrum of the outputs of one or more of the sensors 14 so that higher-quality sensor outputs are achieved with substantially attenuated motion artifacts.

In some embodiments, the sensor 14 may comprise an opto-mechanical sensor, comprising at least one optical emitter and one optical detector, such that inertial changes and cadence can be detected by the spectral characteristics of the opto-mechanical sensor output. In such embodiments, the thresholds described herein may be adapted when applied to the opto-mechanical sensor to account for differences in the sensing mechanism between an opto-mechanical sensor and an accelerometer, thereby generating an accurate measurement of cadence. In some embodiments, the opto-mechanical sensor may also be configured to shine light at the skin and detect light scattered from or through the skin to produce an output signal comprising both photoplethysmography components and inertial components. In such embodiments, the cadence measurement generated by the opto-mechanical sensor can be removed from the opto-mechanical sensor output to provide a second output having a cleaner photoplethysmography signal with substantially attenuated motion artifacts from cadence.

The present invention may, of course, be carried out in other ways than those specifically set forth herein without departing from essential characteristics of the invention. The present embodiments are to be considered in all respects as illustrative and not restrictive, and all changes coming within the meaning and equivalency range of the appended claims are intended to be embraced therein. 

1.-50. (canceled)
 51. A method of determining a user cadence from an inertial signal generated by an inertial sensor and comprising one or more frequency components, the method comprising: determining a peak frequency of the inertial signal, said peak frequency corresponding to the frequency component having the largest amplitude; applying the peak frequency to one or more frequency threshold comparisons; and determining the user cadence based on the peak frequency and the one or more frequency threshold comparisons.
 52. The method of claim 51 further comprising determining a spectral signal based on a frequency transform of the inertial signal, wherein determining the peak frequency comprises determining a frequency of a peak of the spectral signal.
 53. The method of claim 51 wherein determining the user cadence comprises calculating the user cadence based on the peak frequency and a previous user cadence when the peak frequency exceeds a frequency threshold.
 54. The method of claim 53 wherein calculating the user cadence based on the peak frequency and the previous user cadence comprises: determining two or more test user cadences based on the peak frequency; and setting the user cadence to the test user cadence closest to the previous user cadence.
 55. The method of claim 51 wherein determining the user cadence comprises setting the user cadence equal to the peak frequency divided by a harmonic factor when the peak frequency is less than a frequency threshold.
 56. The method of claim 55 wherein the harmonic factor comprises one of ½, 1, 3/2, and
 2. 57. The method of claim 51 further comprising: determining a power of the inertial signal; and comparing the power to a power threshold; wherein determining the user cadence further comprises determining the user cadence based on a comparison between the power and the power threshold.
 58. The method of claim 51 further comprising determining whether the peak frequency is ramping up from a first low frequency value, wherein determining the user cadence further comprises determining the user cadence based on whether the peak frequency is ramping up from the first low frequency value.
 59. The method of claim 51 further comprising: determining a power of the inertial signal; comparing the power to a power threshold; and comparing the peak frequency to a frequency threshold; wherein determining the user cadence comprises determining the user cadence based on the peak frequency and a previous user cadence when the power is less than the power threshold and the peak frequency exceeds the frequency threshold.
 60. The method of claim 51 further comprising: determining a power of the inertial signal; and comparing the power to a power threshold; and comparing the peak frequency to a frequency threshold; determining whether sprinting is possible based on user input; if sprinting is possible, determining the user cadence based on the one or more frequency threshold comparisons under sprinting conditions when the power exceeds the power threshold or the peak frequency is less than the frequency threshold; and if sprinting is not possible, determining the user cadence based on one or more frequency threshold comparisons under non-sprinting conditions when the power exceeds the power threshold or the peak frequency is less than the frequency threshold.
 61. The method of claim 51 further comprising determining at least one frequency threshold based on a previous user cadence.
 62. The method of claim 51 further comprising determining at least one frequency threshold based on an inertial power of the inertial signal.
 63. The method of claim 51 further comprising determining at least one frequency threshold based on an empirical value.
 64. The method of claim 51 further comprising determining a user activity parameter based on user input, wherein determining the user cadence comprises determining the user cadence based on the user activity parameter and the one or more frequency threshold comparisons.
 65. The method of claim 51 wherein the inertial sensor comprises at least one of an accelerometer, a Micro-Electro-Mechanical System (MEMS) device, an optical sensor, a gyroscope, an opto-mechanical sensor, a blocked channel sensor, a capacitive sensor, and a piezoelectric sensor.
 66. The method of claim 51 further comprising using the determined user cadence as a noise reference to attenuate motion artifacts from a physiological signal.
 67. A cadence measurement system configured to determine a user cadence comprising: an inertial sensor configured to output an inertial signal comprising one or more frequency components; and a cadence circuit operatively connected to the inertial sensor, said cadence circuit comprising: a peak frequency circuit configured to determine a peak frequency of the inertial signal, said peak frequency corresponding to the frequency component having the largest amplitude; a comparison circuit configured to apply the peak frequency to one or more frequency threshold comparisons; and a cadence processor configured to determine the user cadence based on the peak frequency and the one or more frequency threshold comparisons.
 68. The cadence measurement system of claim 67 wherein the peak frequency circuit comprises a spectral circuit configured to: determine a spectral signal based on a frequency transform of the inertial signal; and determine the peak frequency by determining a frequency of a peak of the spectral signal.
 69. The cadence measurement system of claim 67 wherein the cadence circuit further comprises a memory operative to store a previous user cadence, wherein the cadence processor determines the user cadence by calculating the user cadence based on the peak frequency and the previous user cadence when the peak frequency exceeds a frequency threshold.
 70. The cadence measurement system of claim 69 wherein the cadence processor is further configured to determine two or more test user cadences based on the peak frequency, and wherein the cadence processor determines the user cadence by setting the cycle user cadence equal to the test user cadence closest to the previous user cadence. 